Answer :
To arrange the numbers from greatest to least, we first need to understand their values by converting any fractions or mixed numbers into comparable forms, like decimals.
1. The number "8" is already a whole number, which makes it simple to compare with others.
2. The fraction [tex]\(-\frac{28}{40}\)[/tex] can be converted to a decimal by dividing [tex]\(28\)[/tex] by [tex]\(40\)[/tex], resulting in [tex]\(-0.7\)[/tex].
3. The mixed number [tex]\(-8 \frac{27}{30}\)[/tex] can be broken down to find its decimal equivalent. First, convert [tex]\(\frac{27}{30}\)[/tex] to a decimal by dividing [tex]\(27\)[/tex] by [tex]\(30\)[/tex], which gives [tex]\(0.9\)[/tex]. Since the number is negative and a mixed number, the value is [tex]\(-8 - 0.9 = -8.9\)[/tex].
With all numbers as decimals:
- 8
- -0.7
- -8.9
Now, let's arrange them from greatest to least:
- 8 (greatest)
- -0.7
- -8.9 (least)
Therefore, the order from greatest to least is:
8, [tex]\(-\frac{28}{40}\)[/tex], [tex]\(-8 \frac{27}{30}\)[/tex].
1. The number "8" is already a whole number, which makes it simple to compare with others.
2. The fraction [tex]\(-\frac{28}{40}\)[/tex] can be converted to a decimal by dividing [tex]\(28\)[/tex] by [tex]\(40\)[/tex], resulting in [tex]\(-0.7\)[/tex].
3. The mixed number [tex]\(-8 \frac{27}{30}\)[/tex] can be broken down to find its decimal equivalent. First, convert [tex]\(\frac{27}{30}\)[/tex] to a decimal by dividing [tex]\(27\)[/tex] by [tex]\(30\)[/tex], which gives [tex]\(0.9\)[/tex]. Since the number is negative and a mixed number, the value is [tex]\(-8 - 0.9 = -8.9\)[/tex].
With all numbers as decimals:
- 8
- -0.7
- -8.9
Now, let's arrange them from greatest to least:
- 8 (greatest)
- -0.7
- -8.9 (least)
Therefore, the order from greatest to least is:
8, [tex]\(-\frac{28}{40}\)[/tex], [tex]\(-8 \frac{27}{30}\)[/tex].
